Title
A degree sum condition for long cycles passing through a linear forest
Abstract
Let G be a (k+m)-connected graph and F be a linear forest in G such that |E(F)|=m and F has at most k-2 components of order 1, where k=2 and m=0. In this paper, we prove that if every independent set S of G with |S|=k+1 contains two vertices whose degree sum is at least d, then G has a cycle C of length at least min{d-m,|V(G)|} which contains all the vertices and edges of F.
Year
DOI
Venue
2008
10.1016/j.disc.2007.05.005
Discrete Mathematics
Keywords
Field
DocType
linear forest,long cycle,degree sum,connected graph,independent set
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Independent set,Connectivity,Mathematics
Journal
Volume
Issue
ISSN
308
12
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Jun Fujisawa191.51
Tomoki Yamashita29622.08